3costheta + 4sintheta=Asin(theta + alpha) find the values of A and alpha - Maths - Trigonometric Functions

Question

3costheta + 4sintheta=Asin(theta + alpha) find the values of A and
alpha?

Ghanshyam Dhakar · Accepted Answer

Dear
student,
3cosθ+4sinθ = Asinθ+αdivide and multiply by 5535cosθ+45sinθ = Asinθ+αuse sin37  =35, cos37  = 455sin37 cosθ+cos37sinθ = Asinθ+αuse sinx+y  =sinx cosy +cosx siny5sin37+θ  = Asinθ+αthen A=5 and α =37 degrees 
Hope this
information will clear your doubts If you have any more doubts just
ask here on the forum and our experts will try to help out as soon
as possible
Regards

3costheta + 4sintheta=Asin(theta + alpha) find the values of A and alpha?